Quantum isomorphic strongly regular graphs from the E8 root system

Publikation: Working paper › Preprint › Forskning

Standard

Quantum isomorphic strongly regular graphs from the E8 root system. / Schmidt, Simon.

arXiv preprint, 2022.

Publikation: Working paper › Preprint › Forskning

Harvard

Schmidt, S 2022 'Quantum isomorphic strongly regular graphs from the E8 root system' arXiv preprint.

APA

Schmidt, S. (2022). Quantum isomorphic strongly regular graphs from the E8 root system. arXiv preprint.

Vancouver

Schmidt S. Quantum isomorphic strongly regular graphs from the E8 root system. arXiv preprint. 2022.

Author

Schmidt, Simon. / Quantum isomorphic strongly regular graphs from the E8 root system. arXiv preprint, 2022.

Bibtex

@techreport{50cee20d68b34293a23ae611a98c5f51,
title = "Quantum isomorphic strongly regular graphs from the E8 root system",
abstract = "In this article, we give a first example of a pair of quantum isomorphic, non-isomorphic strongly regular graphs, that is, non-isomorphic strongly regular graphs having the same homomorphism counts from all planar graphs. The pair consists of the orthogonality graph of the 120 lines spanned by the E8 root system and a rank 4 graph whose complement was first discovered by Brouwer, Ivanov and Klin. Both graphs are strongly regular with parameters (120,63,30,36). Using Godsil-McKay switching, we obtain more quantum isomorphic, non-isomorphic strongly regular graphs with the same parameters.",
author = "Simon Schmidt",
year = "2022",
language = "English",
publisher = "arXiv preprint",
type = "WorkingPaper",
institution = "arXiv preprint",

}

RIS

TY - UNPB

T1 - Quantum isomorphic strongly regular graphs from the E8 root system

AU - Schmidt, Simon

PY - 2022

Y1 - 2022

N2 - In this article, we give a first example of a pair of quantum isomorphic, non-isomorphic strongly regular graphs, that is, non-isomorphic strongly regular graphs having the same homomorphism counts from all planar graphs. The pair consists of the orthogonality graph of the 120 lines spanned by the E8 root system and a rank 4 graph whose complement was first discovered by Brouwer, Ivanov and Klin. Both graphs are strongly regular with parameters (120,63,30,36). Using Godsil-McKay switching, we obtain more quantum isomorphic, non-isomorphic strongly regular graphs with the same parameters.

AB - In this article, we give a first example of a pair of quantum isomorphic, non-isomorphic strongly regular graphs, that is, non-isomorphic strongly regular graphs having the same homomorphism counts from all planar graphs. The pair consists of the orthogonality graph of the 120 lines spanned by the E8 root system and a rank 4 graph whose complement was first discovered by Brouwer, Ivanov and Klin. Both graphs are strongly regular with parameters (120,63,30,36). Using Godsil-McKay switching, we obtain more quantum isomorphic, non-isomorphic strongly regular graphs with the same parameters.

UR - https://arxiv.org/abs/2209.14906

M3 - Preprint

BT - Quantum isomorphic strongly regular graphs from the E8 root system

PB - arXiv preprint

ER -

ID: 320873820